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71426368 = 26132932
BaseRepresentation
bin1000100000111…
…10000101000000
311222101211120001
410100132011000
5121241120433
611030525344
71525054066
oct420360500
9158354501
1071426368
1137355762
121bb06854
1311a4ab30
1496b4036
15640d57d
hex441e140

71426368 has 42 divisors (see below), whose sum is σ = 153162254. Its totient is φ = 32853504.

The previous prime is 71426363. The next prime is 71426371. The reversal of 71426368 is 86362417.

It can be written as a sum of positive squares in 3 ways, for example, as 33085504 + 38340864 = 5752^2 + 6192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71426363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243630 + ... + 243922.

Almost surely, 271426368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76581127).

71426368 is an abundant number, since it is smaller than the sum of its proper divisors (81735886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71426368 is an equidigital number, since it uses as much as digits as its factorization.

71426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 308 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 71426368 is about 8451.4121896876. The cubic root of 71426368 is about 414.9090002244.

The spelling of 71426368 in words is "seventy-one million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 293 416 586 832 1172 2344 3809 4688 7618 9376 15236 18752 30472 60944 85849 121888 171698 243776 343396 686792 1116037 1373584 2232074 2747168 4464148 5494336 8928296 17856592 35713184 71426368